Line slope calculator 7x+6y=81
Straight line given by points A[3; 10] and B[9; 3]
Calculation:
Slope: m = -1.1667Slope-intercept form of line: y = -1.1667x+13.5
Canonical form of the line equation: 7x+6y-81 = 0
Parametric form of the line equation:
x = 6t+3
y = -7t+10 ; t ∈ R
Slope angle of line: φ = -49°23'55″ = -0.8622 rad
X intercept: x0 = 11.5714
Y intercept: y0 = q = 13.5
Distance line from the origin: d0 = 8.7857
The length of the segment AB: |AB| = 9.2195
Vector: AB = (6; -7)
Normal vector: n = (7; 6)
Midpoint of the segment AB: M = [6; 6.5]
Perpendicular Bisector equation: 6x-7y+9.5 = 0
Vector OA = (3; 10) ; |OA| = 10.4403
Vector OB = (9; 3) ; |OB| = 9.4868
Scalar product OA .OB = 57
Angle ∠ AOB = 54°51'57″ = 0.9576 rad